MinT - Information on Result #1093595

Information on Result #1093595

Linear OOA(2²³⁰, 203, F₂, 4, 53) (dual of [(203, 4), 582, 54]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2²⁹, 8, F₂, 4, 26) (dual of [(8, 4), 3, 27]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(2⁹, 3, F₂, 4, 9) (dual of [(3, 4), 3, 10]-NRT-code), using
    - extended Reedâ€“Solomon NRT-code RS_e(4;3,2) [i]
  2. linear OOA(2¹⁷, 5, F₂, 4, 16) (dual of [(5, 4), 3, 17]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;F,3P) [i] based on function field F/F₂ with g(F) = 1 and N(F) ≥ 5, using
      - an explicitly constructive algebraic function field [i]
linear OOA(2²⁰¹, 195, F₂, 4, 53) (dual of [(195, 4), 579, 54]-NRT-code), using
- extracting embedded OOA [i] based on digital (148, 201, 195)-net over F₂, using
  - trace code for nets [i] based on digital (14, 67, 65)-net over F₈, using
    - net from sequence [i] based on digital (14, 64)-sequence over F₈, using
      - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₈ with g(F) = 14 and N(F) ≥ 65, using
        the Suzuki function field over F₈ [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

None.